IDEAS home Printed from https://ideas.repec.org/a/spr/aistmt/v48y1996i4p773-787.html
   My bibliography  Save this article

Sooner and later waiting time problems for success and failure runs in higher order Markov dependent trials

Author

Listed:
  • S. Aki
  • N. Balakrishnan
  • S. Mohanty

Abstract

No abstract is available for this item.

Suggested Citation

  • S. Aki & N. Balakrishnan & S. Mohanty, 1996. "Sooner and later waiting time problems for success and failure runs in higher order Markov dependent trials," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 48(4), pages 773-787, December.
    • Handle: RePEc:spr:aistmt:v:48:y:1996:i:4:p:773-787
    DOI: 10.1007/BF00052332
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/BF00052332
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/BF00052332?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Sigeo Aki, 1992. "Waiting time problems for a sequence of discrete random variables," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 44(2), pages 363-378, June.
    2. S. Mohanty, 1994. "Success runs of lengthk in Markov dependent trials," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 46(4), pages 777-796, December.
    3. Balasubramanian, K. & Viveros, R. & Balakrishnan, N., 1993. "Sooner and later waiting time problems for Markovian Bernoulli trials," Statistics & Probability Letters, Elsevier, vol. 18(2), pages 153-161, September.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. N. Balakrishnan & M. V. Koutras & F. S. Milienos, 2017. "On the identifiability of start-up demonstration mixture models," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 69(4), pages 717-735, August.
    2. Kim, Sungsu & Park, Chongjin & Oh, Jungtaek, 2013. "On waiting time distribution of runs of ones or zeros in a Bernoulli sequence," Statistics & Probability Letters, Elsevier, vol. 83(1), pages 339-344.
    3. Sigeo Aki & Katuomi Hirano, 1999. "Sooner and Later Waiting Time Problems for Runs in Markov Dependent Bivariate Trials," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 51(1), pages 17-29, March.
    4. K. K. Kamalja, 2017. "Markov binomial distribution of order k and its applications," Statistical Papers, Springer, vol. 58(3), pages 831-853, September.
    5. Sigeo Aki & Katuomi Hirano, 2007. "On the Waiting Time for the First Success Run," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 59(3), pages 597-602, September.
    6. Vladimir Pozdnyakov, 2008. "On occurrence of subpattern and method of gambling teams," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 60(1), pages 193-203, March.
    7. Chang, Yung-Ming, 2005. "Distribution of waiting time until the rth occurrence of a compound pattern," Statistics & Probability Letters, Elsevier, vol. 75(1), pages 29-38, November.
    8. Demetrios Antzoulakos, 1999. "On Waiting Time Problems Associated with Runs in Markov Dependent Trials," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 51(2), pages 323-330, June.
    9. Sigeo Aki, 1999. "Distributions of Runs and Consecutive Systems on Directed Trees," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 51(1), pages 1-15, March.
    10. K. Kotwal & R. Shinde, 2006. "Joint distributions of runs in a sequence of higher-order two-state Markov trials," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 58(3), pages 537-554, September.
    11. Sónia Gouveia & Manuel G. Scotto & Christian H. Weiß & Paulo Jorge S. G. Ferreira, 2017. "Binary auto-regressive geometric modelling in a DNA context," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 66(2), pages 253-271, February.
    12. P. S. Chan & H. K. T. Ng & N. Balakrishnan, 2008. "Statistical inference for start-up demonstration tests with rejection of units upon observing d failures," Journal of Applied Statistics, Taylor & Francis Journals, vol. 35(8), pages 867-878.
    13. Kiyoshi Inoue, 2004. "Joint distributions associated with patterns, successes and failures in a sequence of multi-state trials," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 56(1), pages 143-168, March.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Dheeraj Sharma & Mir Ghulam Talpur, 2016. "An Examination of One Dimension Marginal Distributions: Selling and Non - Selling Activities of a Salesperson," Working Papers id:10970, eSocialSciences.
    2. Sharma, Dheeraj & Talpur, Mir Ghulam Haider, 2016. "An Examination of One Dimension Marginal Distributions: Selling and Non-selling Activities of a Salesperson," IIMA Working Papers WP2016-03-48, Indian Institute of Management Ahmedabad, Research and Publication Department.
    3. Masayuki Uchida, 1998. "On Generating Functions of Waiting Time Problems for Sequence Patterns of Discrete Random Variables," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 50(4), pages 655-671, December.
    4. Kolev Nikolai, 2005. "Run and Frequency Quotas Under Markovian Fashion and their Application in Risk Analysis," Stochastics and Quality Control, De Gruyter, vol. 20(1), pages 97-109, January.
    5. Demetrios Antzoulakos & Andreas Philippou, 1997. "Probability Distribution Functions of Succession Quotas in the Case of Markov Dependent Trials," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 49(3), pages 531-539, September.
    6. Demetrios Antzoulakos, 1999. "On Waiting Time Problems Associated with Runs in Markov Dependent Trials," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 51(2), pages 323-330, June.
    7. Qing Han & Sigeo Aki, 2000. "Waiting Time Problems in a Two-State Markov Chain," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 52(4), pages 778-789, December.
    8. Serkan Eryilmaz, 2005. "On the distribution and expectation of success runs in nonhomogeneous Markov dependent trials," Statistical Papers, Springer, vol. 46(1), pages 117-128, January.
    9. Markos V. Koutras & Sotirios Bersimis & Demetrios L. Antzoulakos, 2006. "Improving the Performance of the Chi-square Control Chart via Runs Rules," Methodology and Computing in Applied Probability, Springer, vol. 8(3), pages 409-426, September.
    10. DePoy Smith, Michelle L. & Griffith, William S., 2008. "The analysis and comparison of start-up demonstration tests," European Journal of Operational Research, Elsevier, vol. 186(3), pages 1029-1045, May.
    11. Ourania Chryssaphinou & Eutichia Vaggelatou, 2002. "Compound Poisson Approximation for Multiple Runs in a Markov Chain," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 54(2), pages 411-424, June.
    12. Sigeo Aki, 1999. "Distributions of Runs and Consecutive Systems on Directed Trees," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 51(1), pages 1-15, March.
    13. Yu-Fei Hsieh & Tung-Lung Wu, 2013. "Recursive equations in finite Markov chain imbedding," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 65(3), pages 513-527, June.
    14. Sónia Gouveia & Manuel G. Scotto & Christian H. Weiß & Paulo Jorge S. G. Ferreira, 2017. "Binary auto-regressive geometric modelling in a DNA context," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 66(2), pages 253-271, February.
    15. N. Balakrishnan & S. Mohanty & S. Aki, 1997. "Start-Up Demonstration Tests Under Markov Dependence Model with Corrective Actions," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 49(1), pages 155-169, March.
    16. M. Koutras, 1996. "On a waiting time distribution in a sequence of Bernoulli trials," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 48(4), pages 789-806, December.
    17. Kirtee Kamalja, 2014. "On the joint distribution of success runs of several lengths in the sequence of MBT and its applications," Statistical Papers, Springer, vol. 55(4), pages 1179-1206, November.
    18. Milienos, F.S. & Koutras, M.V., 2008. "A lower bound for the reliability function of multiple failure mode systems," Statistics & Probability Letters, Elsevier, vol. 78(12), pages 1639-1648, September.
    19. Michael V. Boutsikas & Markos V. Koutras, 2000. "Reliability Approximation for Markov Chain Imbeddable Systems," Methodology and Computing in Applied Probability, Springer, vol. 2(4), pages 393-411, December.
    20. Sigeo Aki & Katuomi Hirano, 1999. "Sooner and Later Waiting Time Problems for Runs in Markov Dependent Bivariate Trials," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 51(1), pages 17-29, March.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:aistmt:v:48:y:1996:i:4:p:773-787. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.